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Finding the Fourth Proportional to 74,122.29, 102,287.75 and 40,588.29

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Solution

The fourth proportional to 74,122.29, 102,287.75 and 40,588.29 is: 56,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,122.29 : 102,287.75 = 40,588.29 : x
  2. Step 2: Convert to fraction form
    74,122.29/102,287.75 = 40,588.29/x
  3. Step 3: Cross multiply
    74,122.29x = 102,287.75 × 40,588.29
  4. Step 4: Simplify right side
    74,122.29x = 4,151,684,657.51
  5. Step 5: Solve for x
    x = 4,151,684,657.51/74,122.29
  6. Step 6: Final answer
    x = 56,011.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.